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Volumn 75, Issue 1, 1996, Pages 59-77

A preconditioner for the h-p version of the finite element method in two dimensions

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EID: 0030493102     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050230     Document Type: Article
Times cited : (33)

References (19)
  • 1
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    • University of Leicester
    • Ainsworth, M. (1993): A preconditioner based on domain decomposition of h-p finite element approximation on quasi-uniform meshes. Math. Comput. Sci. Technical Reports 16, University of Leicester
    • (1993) Math. Comput. Sci. Technical Reports , vol.16
    • Ainsworth, M.1
  • 2
    • 0026169599 scopus 로고
    • Efficient preconditioning for the p version finite element method in two dimensions
    • Babuška, I., Craig, A., Mandel, J., Pitkäranta, J. (1991): Efficient preconditioning for the p version finite element method in two dimensions. SIAM J. Numer. Anal. 28, 624-661
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 624-661
    • Babuška, I.1    Craig, A.2    Mandel, J.3    Pitkäranta, J.4
  • 3
    • 0039273024 scopus 로고
    • The problem of selecting the shape functions for a p-type finite element
    • Babuška, I., Griebel, M., Pitkäranta, J. (1989): The problem of selecting the shape functions for a p-type finite element. J. Comput. Appl. Math. 28, 157-187
    • (1989) J. Comput. Appl. Math. , vol.28 , pp. 157-187
    • Babuška, I.1    Griebel, M.2    Pitkäranta, J.3
  • 4
    • 0001003242 scopus 로고
    • Regularity of the solutions of elliptic problem with piecewise analytic data. Part I: Boundary value problems for linear elliptic equation of second order
    • Babuška, I., Guo, B.Q. (1988): Regularity of the solutions of elliptic problem with piecewise analytic data. Part I: Boundary value problems for linear elliptic equation of second order. SIAM J. Math. Anal. 19, 257-277
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 257-277
    • Babuška, I.1    Guo, B.Q.2
  • 5
    • 0000808028 scopus 로고
    • The h-p version of the finite element method for domains with curved boundaries
    • Babuška, I., Guo, B.Q. (1988): The h-p version of the finite element method for domains with curved boundaries. SIAM J. Numer. Anal. 25, 837-861
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 837-861
    • Babuška, I.1    Guo, B.Q.2
  • 6
    • 0022918065 scopus 로고
    • Iterative methods for the solution of elliptic problems on regions partitioned into substructures
    • Bjørstad, P.E., Widlund, O.B. (1986): Iterative methods for the solution of elliptic problems on regions partitioned into substructures. SIAM J. Numer. Anal. 23, 1097-1120
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1097-1120
    • Bjørstad, P.E.1    Widlund, O.B.2
  • 7
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring
    • Bramble, J., Pasciak, J., Schatz, A. (1986): The construction of preconditioners for elliptic problems by substructuring. I. Math. of Comput. 175, 103-134
    • (1986) I. Math. of Comput. , vol.175 , pp. 103-134
    • Bramble, J.1    Pasciak, J.2    Schatz, A.3
  • 10
    • 0006182474 scopus 로고
    • Some domain decomposition algorithms for elliptic problems
    • Hayes, L., Kincaid, D. (eds.) Academic Press, San Diego, CA
    • Dryja, M., Widlund, O.B. (1989): Some domain decomposition algorithms for elliptic problems. In: Hayes, L., Kincaid, D. (eds.) Iterative methods for large scale linear systems, pp. 273-291. Academic Press, San Diego, CA
    • (1989) Iterative Methods for Large Scale Linear Systems , pp. 273-291
    • Dryja, M.1    Widlund, O.B.2
  • 13
    • 0042893223 scopus 로고
    • The h-p version of the finite element method, part 1: The basic approximation results
    • Guo, B.Q., Babuška, I. (1986): The h-p version of the finite element method, part 1: the basic approximation results. Comput. Mech. 1, 21-41
    • (1986) Comput. Mech. , vol.1 , pp. 21-41
    • Guo, B.Q.1    Babuška, I.2
  • 14
    • 0039977843 scopus 로고
    • The h-p version of the finite element method, part 2: General results and applications
    • Guo, B.Q., Babuška, I. (1986): The h-p version of the finite element method, part 2: General results and applications. Comput. Mech. 1, 203-220
    • (1986) Comput. Mech. , vol.1 , pp. 203-220
    • Guo, B.Q.1    Babuška, I.2
  • 15
    • 0025449449 scopus 로고
    • Iterative solvers by substructuring for the p-version finite element method
    • Mandel, J. (1990): Iterative solvers by substructuring for the p-version finite element method. Comput. Methods Appl. Mech. Engrg. 80, 117-128
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.80 , pp. 117-128
    • Mandel, J.1
  • 16
    • 0025416211 scopus 로고
    • Two-level domain decomposition preconditioning for the p-version finite element method in three dimensions
    • Mandel, J. (1990): Two-level domain decomposition preconditioning for the p-version finite element method in three dimensions. Internat. J. Numer. Methods Engrg. 29, 1095-1108
    • (1990) Internat. J. Numer. Methods Engrg. , vol.29 , pp. 1095-1108
    • Mandel, J.1
  • 19
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • Xu, J. (1992): Iterative methods by space decomposition and subspace correction. SIAM Rev. 34, 581-613
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.